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Finding the Fourth Proportional to 258,083.82, 356,165.64 and 143,371.08

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Solution

The fourth proportional to 258,083.82, 356,165.64 and 143,371.08 is: 197,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,083.82 : 356,165.64 = 143,371.08 : x
  2. Step 2: Convert to fraction form
    258,083.82/356,165.64 = 143,371.08/x
  3. Step 3: Cross multiply
    258,083.82x = 356,165.64 × 143,371.08
  4. Step 4: Simplify right side
    258,083.82x = 51,063,852,465.69
  5. Step 5: Solve for x
    x = 51,063,852,465.69/258,083.82
  6. Step 6: Final answer
    x = 197,857.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.